Results 211 to 220 of about 2,897 (246)

A generalized discrepancy principle for the L-pseudosolutions

USSR Computational Mathematics and Mathematical Physics, 1987
See the review in Zbl 0638.47010.
openaire   +2 more sources

Principles of orthognathic management of dentofacial discrepancies

Dental Update, 2018
Abstract: Individuals with severe dentofacial discrepancies that are beyond the scope of conventional orthodontic treatment will often require a joint orthodontic-surgical approach to manage their malocclusion. This treatment approach involving orthodontics in combination with orthognathic surgery is used to manage severe underlying skeletal ...
Kulraj S Achal, Farhad B Naini, Daljit S Gill   +2 more
openaire   +1 more source

Heuristic discrepancy principle for variational regularization of inverse problems

Inverse Problems, 2020
Abstract We consider the variational regularization for inverse problems in a general form. Based on the discrepancy principle, we propose a heuristic parameter choice rule for choosing the regularization parameter which does not require the information on the noise level and is therefore purely data driven. Under
Huan Liu, Rommel Real, Xiliang Lu, Xianzheng Jia, Qinian Jin   +4 more
openaire   +2 more sources

Comments on Morozov’s Discrepancy Principle

1983
The choice of regularization parameter by Morozov’s principle is characterized in a new way and is related to another parameter choice strategy. An asymptotic order of accuracy is derived which is essentially best possible and a discrepancy principle is developed in a finite element context.
openaire   +1 more source

Quasi-Newton projection methods and the discrepancy principle in image restoration

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LOLI PICCOLOMINI, ELENA, LANDI, GERMANA
openaire   +2 more sources

Modular solvers for image restoration problems using the discrepancy principle

Numerical Linear Algebra with Applications, 2002
AbstractMany problems in image restoration can be formulated as either an unconstrained non‐linear minimization problem, usually with aTikhonov‐like regularization, where the regularization parameter has to be determined; or as a fully constrained problem, where an estimate of the noise level, either the variance or the signal‐to‐noise ratio, is ...
Peter Blomgren, Tony F. Chan
openaire   +2 more sources

What do we Learn from the Discrepancy Principle?

Zeitschrift für Analysis und ihre Anwendungen, 2006
The author analyzes the discrepancy principle when smoothness is given in terms of general source conditions. As it turns out, this framework is particularly well suited to reveal the mechanism under which this principle works. For general source conditions there is no explicit way to compute rates of convergence.
openaire   +2 more sources

Optimization aspects of the generalized discrepancy principle in regularization

Optimization, 1986
The generalized discrepancy principle in regularization is investigated from the optimization point of view. Tikhonov's regularization method can be considered as a Lagrange multiplier method. This approach allows formulating a search algorithm for choosing the regularization parameter.
openaire   +1 more source

Morozov's discrepancy principle and Tikhonov-type functionals

Inverse Problems, 2008
This paper deals with the well-known discrepancy principle of Morozov. We show that the principle can be used as an a posteriori choice rule for determining the regularization parameter of Tikhonov regularization considering more general penalty terms than the classical quadratic one. We show regularization properties as well as convergence rates.
openaire   +1 more source

On the connection between the generalized discrepancy method and the generalized discrepancy principle for non-linear ill-posed problems

USSR Computational Mathematics and Mathematical Physics, 1982
The generalized residual principle is a method for choosing the regularization parameter in Tikhonov's method for the solution of ill- posed problems. It is shown that the approximations computed by this choice converge to the so-called normal solution of the problem.
openaire   +1 more source